{
  "id": "2010.14644",
  "version": "v1",
  "published": "2020-10-27T22:15:57.000Z",
  "updated": "2020-10-27T22:15:57.000Z",
  "title": "Stable Cohomology of Discriminant Complements for an algebraic curve",
  "authors": [
    "Ishan Banerjee"
  ],
  "categories": [
    "math.AG",
    "math.AT"
  ],
  "abstract": "In this paper we show that in a stable range the cohomology of the space of regular algebraic sections of a line bundle $\\mathscr{L}$on a curve $X$ is isomorphic to the cohomology of the space of regular $C^{infty}$sections of the same line bundle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-27T22:15:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "algebraic curve",
      "discriminant complements",
      "stable cohomology",
      "line bundle",
      "regular algebraic sections"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}